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Which of the following is equivalent to log8 40 rounded to three decimal places

User Jimp
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2 Answers

7 votes
I'm not sure to really be honest
User Narendra Kothule
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8.7k points
3 votes

The answer is 1.77398, or can be rounded to 1.774

Log8(40)

Log2^3(40)

1/3 x log2(40)

1/3 x log2(8 x 5)

1/3 x (log2(8)+log2(5))

1/3 x (log2(2^3)+log2(5))

1/3 x (3+log2(5))

1+1/3 x log2(5) = 1.77398

User Jazgot
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